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simple: consider a circle.

A circle is a point rotated through 360o.

This rotation is also referred to as a rotation through 2Pi radians.

Therefore we can make the following statements about the two forms of angular measurement

2 Pi radians = 360o

2 radians = 360o/Pi;

1 radian = 180o/Pi

1o = Pi radians/180

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11y ago
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